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Finding the Third Proportional to 221,089,830 and 473,237,520

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Solution

The third proportional to 221,089,830 and 473,237,520 is: 1,012,953,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,089,830 : 473,237,520 = 473,237,520 : x
  2. Step 2: Convert to fraction form
    221,089,830/473,237,520 = 473,237,520/x
  3. Step 3: Cross multiply
    221,089,830x = 473,237,520 × 473,237,520
  4. Step 4: Simplify right side
    221,089,830x = 223,953,750,335,750,400
  5. Step 5: Solve for x
    x = 223,953,750,335,750,400/221,089,830
  6. Step 6: Final answer
    x = 1,012,953,650.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.